Question

Consider the following hypothesis test. H0: p ≥ 0.75 Ha: p < 0.75 A sample of...

Consider the following hypothesis test. H0: p ≥ 0.75 Ha: p < 0.75 A sample of 280 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.05. (a) p = 0.67 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75. Do not reject H0. There is insufficient evidence to conclude that p < 0.75. (b) p = 0.72 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75. Do not reject H0. There is insufficient evidence to conclude that p < 0.75. (c) p = 0.70 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75. Do not reject H0. There is insufficient evidence to conclude that p < 0.75. (d) p = 0.77 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75. Do not reject H0. There is insufficient evidence to conclude that p < 0.75.

Homework Answers

Answer #1

Hypothesis : VS

Since , n=280

a) For p=0.67

The test statistic is ,

P-value =

Decision : Here , P-value = 0.0010 < 0.05

Therefore , reject Ho .

Conclusion : There is sufficient evidence to conclude that p < 0.75.

b) For p=0.72

The test statistic is ,

P-value =

Decision : Here , P-value = 0.1251 >  0.05

Therefore , Do not reject Ho .

Conclusion : There is insufficient evidence to conclude that p < 0.75.

c) For p=0.70

The test statistic is ,

P-value =

Decision : Here , P-value = 0.0274 < 0.05

Therefore , reject Ho .

Conclusion : There is sufficient evidence to conclude that p < 0.75.

d) For p=0.77

The test statistic is ,

P-value =

Decision : Here , P-value = 0.2206 > 0.05

Therefore , Do not reject Ho .

Conclusion : There is insufficient evidence to conclude that p < 0.75.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following hypothesis test. H0: p = 0.30 Ha: p ≠ 0.30 A sample of...
Consider the following hypothesis test. H0: p = 0.30 Ha: p ≠ 0.30 A sample of 500 provided a sample proportion p = 0.275. (a) Compute the value of the test statistic. (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At α = 0.05, what is your conclusion? Do not reject H0. There is sufficient evidence to conclude that p ≠ 0.30.Do not reject H0. There...
You may need to use the appropriate appendix table or technology to answer this question. Consider...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.11. The population standard deviation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At α = 0.05, state your conclusion....
Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of...
Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. A. x = 34 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) B. Find the p-value. (Round your answer to four decimal places.) C. x = 33 and s = 4.5 Find the...
Consider the following hypothesis test: H0: u ≤ 25 Ha: u > 25 A sample of...
Consider the following hypothesis test: H0: u ≤ 25 Ha: u > 25 A sample of 40 provided a sample mean of 26.4. The population standard deviation is 6. a) Compute the value or the test statistic. (keep 2 decimal places) Numeric Answer: b) What is the p-value? (Keep 4 decimal places) Numeric Answer: c) Using a = .05, what is your conclusion? Options: A. reject H0 B. do not reject H0
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 8. The hypotheses H0: μ = 73 and Ha: μ < 73 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) standard deviations (b) If x = 72.3, what is the conclusion using α = 0.003?...
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size...
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 125 and the population standard deviation is assumed known with σ = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0?  (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and we...
Consider the following hypothesis test: H0: µ = 15 Ha: µ ≠ 15 A sample of...
Consider the following hypothesis test: H0: µ = 15 Ha: µ ≠ 15 A sample of 50 provided a sample mean of 14.15. The population standard deviation is 3. A.) Compute the value of the test statistic. (Round to two decimal places). B.) What is the p-value? (Round to three decimal places) C.) Using a=0.01, what is your conclusion? D.) Using the critical value approach for the 99% confidence level, what is the critical value? what is the rejection rule?...
1. Consider the following hypotheses: H0: μ = 420 HA: μ ≠ 420 The population is...
1. Consider the following hypotheses: H0: μ = 420 HA: μ ≠ 420 The population is normally distributed with a population standard deviation of 72. a-1. Calculate the value of the test statistic with x−x− = 430 and n = 90. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)    a-2. What is the conclusion at the 1% significance level?    Reject H0 since the p-value is less than the significance level....
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 53 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use α = 0.01. (a) What is the level of significance? State the null and alternate...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 53 records of automobile driver fatalities in a certain county showed that 35 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use α = 0.05. a) What is the level of significance? State the null and alternate...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT